15(4^2+1)(4^4+1)...(4^64+1)
⇒D=(42−1)(42+1)(44+1)(464+1)
=>D=(44−1)...(464+1)
=>D=(464−1)(464+1)
=>D=4128−1
- Vậy D=4128−1
\(15\cdot\left(4^2+1\right)\left(4^4+1\right)...\left(4^{64}+1\right)\)
\(=\left(4^2-1\right)\left(4^2+1\right)\left(4^4+1\right)....\left(4^{64}+1\right)\)
\(=\left(4^4-1\right)\left(4^4+1\right)\left(4^8+1\right)....\left(4^{64}+1\right)\)
\(=\left(4^8-1\right)\left(4^8+1\right)\left(4^{16}+1\right)...\left(4^{64}+1\right)\)
\(=\left(4^{16}-1\right)\left(4^{16}+1\right)\left(4^{32}+1\right)\left(4^{64}+1\right)\)
\(=\left(4^{32}-1\right)\left(4^{32}+1\right)\left(4^{64}+1\right)\)
\(=\left(4^{64}-1\right)\left(4^{64}+1\right)\)
\(=4^{128}+1\)
lỗi nên đăng lại nhe
15(4^2+1)(4^4+1)...(4^64+1)
⇒D=(42−1)(42+1)(44+1)(464+1)
=>D=(44−1)...(464+1)
=>D=(464−1)(464+1)
=>D=4128−1
- Vậy D=4128−1